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Grade 5 Maths · Unit 3: Decimal operations

Multiplying two decimals

Multiply a decimal by another decimal.

To multiply 0.3 × 0.4, multiply the digits as whole numbers: 3 × 4 = 12. Count the decimal places in both numbers. 0.3 has one and 0.4 has one, which makes two in total. So the answer has two decimal places: 0.12.

This makes sense: 0.3 × 0.4 means three tenths of four tenths, which is a small amount. When you multiply by a number less than 1, the answer is smaller than the number you started with.

Worked example

1.2 × 0.5 =

  1. 12 × 5 = 60.
  2. There are two decimal places in total, so 0.60.

Answer:0.6

Key words

total decimal places
the decimal places in both numbers added together
product
the answer to a multiplication
less than 1
makes the answer smaller
Practise this

New questions every time.

Common Core-referenced: 5.NBT.B.7